468880352 has 48 divisors (see below), whose sum is σ = 961632000. Its totient is φ = 224770560.

The previous prime is 468880351. The next prime is 468880403. The reversal of 468880352 is 253088864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468880351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136577 + ... + 139967.

It is an arithmetic number, because the mean of its divisors is an integer number (20034000).

Almost surely, 2^468880352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480816000).

468880352 is an abundant number, since it is smaller than the sum of its proper divisors (492751648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468880352 is a wasteful number, since it uses less digits than its factorization.

468880352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 468880352 is about 21653.6452358489. The cubic root of 468880352 is about 776.8801258543.

The spelling of 468880352 in words is "four hundred sixty-eight million, eight hundred eighty thousand, three hundred fifty-two".